402430012440 has 128 divisors (see below), whose sum is σ = 1214668224000. Its totient is φ = 106659468288.

The previous prime is 402430012427. The next prime is 402430012447. The reversal of 402430012440 is 44210034204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 402430012440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402430012447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56209581 + ... + 56216739.

It is an arithmetic number, because the mean of its divisors is an integer number (9489595500).

Almost surely, 2^402430012440 is an apocalyptic number.

402430012440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402430012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607334112000).

402430012440 is an abundant number, since it is smaller than the sum of its proper divisors (812238211560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402430012440 is a wasteful number, since it uses less digits than its factorization.

402430012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 402430012440 its reverse (44210034204), we get a palindrome (446640046644).

The spelling of 402430012440 in words is "four hundred two billion, four hundred thirty million, twelve thousand, four hundred forty".